According to the official, Finance Minister Arun Jaitley has met several people but has not finalised the name.
The post of CEA has been lying vacant since Raghuram Rajan left the Finance Ministry to join the Reserve Bank as Governor in September last year.
There were speculations that US-based economist Arvind Subramanian may be appointed as Chief Economic Advisor in the Finance Ministry.
Subramanian, an alumnus of IIM-Ahmedabad, is the Dennis Weatherstone senior fellow at the Washington-based Peterson Institute for International Economics.